Elliptic curve data - 100020.a1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '100020a', 'Clabel': '100020a1', 'Cnumber': 1, 'abc_quality': 0.6654395733564937, 'absD': 6401280, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 100020, 'ainvs': [0, -1, 0, -20, -120], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 1667], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 100020, 'degree': 26400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.010722459275416058615432980064', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-3631696, 25005], 'lmfdb_iso': '100020.a', 'lmfdb_label': '100020.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20, -120], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['100020.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3023430938802034434254098492', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47282057964871293156025439437', 'prec': 107}, 'szpiro_ratio': 2.015736979973327, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, 1, 0, 4, 0, 1, 0, -3, 0, -2, 0, -1, 0, -6, 0, 8, 0], 'aplist': [0, -1, 1, 4, -3, -2, -6, 8, 2, -10, 2, 7, 9, -9, -6, 6, 0, 1, 16, -5, -6, -11, 5, -1, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 100020, 'isogeny_matrix': [[1]], 'lmfdb_iso': '100020.a', 'trace_hash': 511367478718450206}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '1.0216765133645507012074352145', 'prec': 100}, 'conductor': 100020, 'gens': [[22, 98, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3023430938802034434254098492', 'prec': 100}], 'lmfdb_label': '100020.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.99841421556925578389808082134', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8960762221430902431509561454204678896', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [4, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0], '1667': 'o?'}, 'iwp0': 0, 'lmfdb_label': '100020.a1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 4641405
    {'degree': 3, 'field': [-120, -20, -1, 1], 'lmfdb_label': '100020.a1', 'torsion': [2]}
  • id: 4641406
    {'degree': 6, 'field': [400080, 0, 3721, 0, -122, 0, 1], 'lmfdb_label': '100020.a1', 'torsion': [2, 2]}
  • id: 4641407
    {'degree': 8, 'field': [-11163, 0, -13688, 0, -366, 0, 0, 0, 1], 'lmfdb_label': '100020.a1', 'torsion': [3]}
  • id: 4641408
    {'degree': 12, 'field': [-400080, 0, -417484, 0, -55815, 0, -34220, 0, -610, 0, 0, 0, 1], 'lmfdb_label': '100020.a1', 'torsion': [4]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 2454015
    {'conductor': 100020, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '100020.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2454016
    {'conductor': 100020, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100020.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2454017
    {'conductor': 100020, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100020.a1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2454018
    {'conductor': 100020, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100020.a1', 'prime': 1667, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[61681, 2, 61681, 3], [80017, 2, 80017, 3], [50011, 2, 50011, 3], [1, 1, 100019, 0], [33341, 2, 33341, 3], [100019, 2, 100018, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '100020.2.0.?', 'conductor': 100020, 'lmfdb_label': '100020.a1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5202496
    {'lmfdb_iso': '100020.a', 'p': 7, 'prec': 20, 'unit': 7549614484655818, 'val': 1}
  • id: 5202494
    {'lmfdb_iso': '100020.a', 'p': 11, 'prec': 20, 'unit': 20261352277225833102, 'val': 1}
  • id: 5202500
    {'lmfdb_iso': '100020.a', 'p': 13, 'prec': 20, 'unit': 1280826362380035077994, 'val': 1}
  • id: 5202502
    {'lmfdb_iso': '100020.a', 'p': 17, 'prec': 20, 'unit': 184143228517042824432114, 'val': 1}
  • id: 5202503
    {'lmfdb_iso': '100020.a', 'p': 19, 'prec': 20, 'unit': 1242482881507635945028860, 'val': 1}
  • id: 5202506
    {'lmfdb_iso': '100020.a', 'p': 23, 'prec': 20, 'unit': 51099154781138086724161054, 'val': 1}
  • id: 5202499
    {'lmfdb_iso': '100020.a', 'p': 29, 'prec': 20, 'unit': 4478474385677220687482808595, 'val': 1}
  • id: 5202512
    {'lmfdb_iso': '100020.a', 'p': 31, 'prec': 20, 'unit': 1821077269324678659927210671, 'val': 1}
  • id: 5202495
    {'lmfdb_iso': '100020.a', 'p': 37, 'prec': 20, 'unit': 154626734808354134420757806625, 'val': 1}
  • id: 5202497
    {'lmfdb_iso': '100020.a', 'p': 41, 'prec': 20, 'unit': 1510675460115948305503448462876, 'val': 1}
  • id: 5202498
    {'lmfdb_iso': '100020.a', 'p': 43, 'prec': 20, 'unit': 7415942219722264642821080082163, 'val': 1}
  • id: 5202501
    {'lmfdb_iso': '100020.a', 'p': 47, 'prec': 20, 'unit': 274641281251721181657425172789, 'val': 2}
  • id: 5202504
    {'lmfdb_iso': '100020.a', 'p': 53, 'prec': 20, 'unit': 83524249524461118301456560386234, 'val': 1}
  • id: 5202510
    {'lmfdb_iso': '100020.a', 'p': 61, 'prec': 20, 'unit': 348123272495321764536171566943519993, 'val': -1}
  • id: 5202493
    {'lmfdb_iso': '100020.a', 'p': 67, 'prec': 20, 'unit': 22959980617522202761723399144658959, 'val': 1}
  • id: 5202508
    {'lmfdb_iso': '100020.a', 'p': 71, 'prec': 20, 'unit': 39198751170426427526182790715090217, 'val': 1}
  • id: 5202505
    {'lmfdb_iso': '100020.a', 'p': 73, 'prec': 20, 'unit': 1098370848953232946362068880927023, 'val': 1}
  • id: 5202509
    {'lmfdb_iso': '100020.a', 'p': 79, 'prec': 20, 'unit': 608015217086369950659824527182703614, 'val': 1}
  • id: 5202511
    {'lmfdb_iso': '100020.a', 'p': 83, 'prec': 20, 'unit': 1684743341595813126234796525202776171, 'val': 1}
  • id: 5202507
    {'lmfdb_iso': '100020.a', 'p': 89, 'prec': 20, 'unit': 1160614261068655778611557196788604455, 'val': 1}
  • id: 5202492
    {'lmfdb_iso': '100020.a', 'p': 97, 'prec': 20, 'unit': 11948313822602679872732320302654967756, 'val': 1}